Interconnection, Reciprocity and a Hierarchical Classification of Generalized Multiports

Series-parallel mechanical circuit synthesis of a positive-real third-order admittance using at most six passive elements for inerter-based control

“…impedance) as a damper-spring-inerter circuit. In addition to mechanical control, passive circuit synthesis can have a long-term impact on many other related fields, such as circuit theory [44], circuit-antenna design [45], self-assembling circuit design [46], biomedical engineering [47], fractional-order circuit systems [48,49], negative imaginary systems [50], modelling of spatially interconnected systems [51], etc. Therefore, investigating passive circuit synthesis is both theoretically and practically meaningful.…”